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Finding the Fourth Proportional to 553,302.30, 829,953.45 and 287,581.80

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Solution

The fourth proportional to 553,302.30, 829,953.45 and 287,581.80 is: 431,372.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,302.30 : 829,953.45 = 287,581.80 : x
  2. Step 2: Convert to fraction form
    553,302.30/829,953.45 = 287,581.80/x
  3. Step 3: Cross multiply
    553,302.30x = 829,953.45 × 287,581.80
  4. Step 4: Simplify right side
    553,302.30x = 238,679,507,067.21
  5. Step 5: Solve for x
    x = 238,679,507,067.21/553,302.30
  6. Step 6: Final answer
    x = 431,372.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.